The radius of a circle is 3.9 cm. What is the area of the circle? Use pi = 3.14

Answer:

The answer is

Step-by-step explanation:

Perimeter of a square = 4l

Area of a square = l²

where

l is the the length of one side

To find the area we must first find the length of the square using the perimeter

Perimeter = 128m

Substitute the value into the formula for finding the perimeter and find the length

That's

[tex]128 = 4l[/tex]

Divide both sides by 4

length = 32 m

So the area of the square is

A = 32²

We have the final answer as

Hope this helps you

The value of x is  = -5, -3

Answer:

B

Step-by-step explanation:

Answer:

316,912,650,057,057,350,374,175,801,344

Step-by-step explanation:

You can see that this sequence is geometric so you need to know the geometric sequence which is [tex]x_{n} =r^{n-1}[/tex] and if you plug in every thing you get [tex]x_{n}[/tex]=[tex]2^{99-1}[/tex] which would be [tex]2^{98}[/tex] which is 316,912,650,057,057,350,374,175,801,344

Answer:

1. 1/120

2. 7/24

Step-by-step explanation:

n = 10

Number of defective = 3

1. Probability of all defective =

(Number of defective/n) x (number of defective -1/n -1)...(number of defective -n/n-1)

=3/10 x 2/9 X 1/8

= 6/720

= 1/120

2. probability of none defective

Since 3 are defective, those that are not defective = 7

The probability is therefore:

7/10 x 6/9 x 5/8

= 210/720

= 7/24.

Answer:

2.4/3

8 Feet of yarn

This is because we're asking of one third of the original amount so we divide it by three.

Answer:

Pritam gets $22.50

Step-by-step explanation:

Ratios

Pritam =3

Sarah=6

Emily=4

The ratio between Sarah and Emily = 6:4

=3:2

If Sarah gets $15 more than Emily

Then,

Sarah gets $45

Emily gets $30.

The ratio between Pritam and Sarah = 3:6

= 1:2

Since Sarah gets $45,

Pritam gets half as much= $45 / 2

=$22.50

Answer:

Step-by-step explanation:

8/2

Numerator is bigger than denominator. So it is improper fraction and rational number

Rational numbers are any number that can be written in p/q form

Answer:

it should be improper fraction

Step-by-step explanation:

because the numerator is greater than the denominator.

Hope it helps :)

Systematic

Got it right on test

The information depicted is an example of cluster sampling.

From the information given, Farmer Joe separates his apple tree farm into 10 regions and then counts the number of apples that are produced in two of the regions and uses that estimate to predict the number of apples produced on the whole farm, this illustrates cluster sampling.

Cluster sampling is when researchers divide a population into smaller groups that are called clusters and then randomly select from the population.

Read related link on:

https://brainly.com/question/17255201

Answer:

Approximately

W=132.29

Step-by-step explanation:

W=k(TA√F)/R

T=78°F

R=5.6 inches

F=4

A=1000 square feet

W=$72

Solve for k

W=k(TA√F)/R

72=k(78*1000*√4)/5.6

72=k(78,000*2) / 5.6

72=k(156,000) / 5.6

72*5.6 =156,000k

403.2=156,000k

k=403.2/156,000

=0.002585

Solve for w when F=6, A=1500, T= 78, R=5.6 inches

W=k(TA√F)/R

W=0.002585(78*1500*√6) / 5.6

=0.002585(78*1500*2.4495) / 5.6

=0.002585(286,591.5) /5.6

=740.8390 / 5.6

=132.2927

W=132.2927

Approximately 132.29

Answer:

6½ gallons

Step-by-step explanation:

Givem the cost of 1gallon of gas = $2.78. . If Cory buys $18 of gas, we are to find the number of gallons did he buy. To do that we will use the equality method as shown;

$2.78 ,= 1gallon

$18 = x gallon

Cross multiply

2.78 × x = 1×18

2.78x = 18

Divide through by 2.78

2.78x/2.78 = 18/2.78

.x = 6.5

Hence Cory buys about 6½ gallons of gas for $18

Answer:

x = 1

Step-by-step explanation:

Given

3x + 5x = 8 ← collect like terms on left side

8x = 8 ( divide both sides by 8 )

x = 1

Answer:

B

Step-by-step explanation:

To achieve an average of 95% on 4 tests, the sum of the scores Olivia gets must be 95 * 4 = 380. Right now, the sum of her scores is 89 + 98 + 96 = 283 so she must get at least a 380 - 283 = 97% on her last test.

Answer:

12,464 ft

Step-by-step explanation:

I assume that the elevation of the lake is the altitude at the surface of the water.

The surface of the lake is 922 ft above the deepest point of the lake.

11,542 ft + 922 ft = 12,464 ft

Answer:

Read Exp:

Step-by-step explanation:

1.) 4 is the Base and 8 is the Exponent.

2.) 9^4 = 9 x 9 x 9 x 9 = 6561.

3.) (-5)^2 = -5 x -5 = 25.

4.) 3^3 = 3 x 3 x 3 = 27.

5.) (1/2)^5 = 1/2 x 1/2 x 1/2 x 1/2 x 1/2 = 0.03125

Have to change it to a simplified fraction:

* 1/32

Answer:

B. 0.36

Step-by-step explanation:

Given:

Right ∆ABC,

AB = 5

BC = 13.93

CA = 13

Required:

Value of sin C

SOLUTION:

[tex] sin(C) = \frac{opposite}{hypotenuse} [/tex]

Opposite = 5

Hypotenuse = 13.93

[tex] sin(C) = \frac{5}{13.93} [/tex]

[tex] sin(C) = 0.3589 [/tex]

[tex] sin(C) = 0.36 [/tex]

the answer would be B, 0.36

Answer:

(a) the time for the event of the highest 5% is 15.29 minutes.

(b) the time for the event of the lowest 50% is 12 minutes.

(c) the time for the event of the middle 95% is 8.08 minutes and 15.92 minutes.

(d) the time for the event of the lowest 80% is 13.68 minutes.

Step-by-step explanation:

We are given that the time required to cook a pizza at a neighborhood pizza joint is normally distributed with a mean of 12 minutes and a standard deviation of 2 minutes.

Let X = the time required to cook a pizza at a neighborhood pizza joint.

The z-score probability distribution for the normal distribution is given by;

                              Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = mean time = 12 minutes

           [tex]\sigma[/tex] = standard deviation = 2 minutes

(a) We have to find the time for the event of the highest 5%, that means;

           P(X > x) = 0.05     {where x is the required time}

           P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{x-12}{2}[/tex] ) = 0.05

           P(Z > [tex]\frac{x-12}{2}[/tex] ) = 0.05

Now, in the z table, the critical value of x that represents the top 5% of the area is given as 1.645, i.e;

                      [tex]\frac{x-12}{2}=1.645[/tex]

                      [tex]{x-12}=1.645\times 2[/tex]

                      x = 12 + 3.29 = 15.29 minutes.

Hence, the time for the event of the highest 5% is 15.29 minutes.

(b) We have to find the time for the event of the lowest 50%, that means;

           P(X < x) = 0.50     {where x is the required time}

           P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{x-12}{2}[/tex] ) = 0.50

           P(Z < [tex]\frac{x-12}{2}[/tex] ) = 0.50

Now, in the z table, the critical value of x that represents the lowest 50% of the area is given as 0, i.e;

                      [tex]\frac{x-12}{2}=0[/tex]

                      [tex]{x-12}=0[/tex]

                      x = 12 + 0 = 12 minutes.

Hence, the time for the event of the lowest 50% is 12 minutes.

(c) We have to find the time for the event of the middle 95%, that means we have to find the time for the event of 2.5% and above 97.5%;

Firstly, the time for the event of the lowest 2.5%, i.e;

           P(X < x) = 0.025     {where x is the required time}

           P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{x-12}{2}[/tex] ) = 0.025

           P(Z < [tex]\frac{x-12}{2}[/tex] ) = 0.025

Now, in the z table, the critical value of x that represents the lowest 2.5% of the area is given as -1.96, i.e;

                      [tex]\frac{x-12}{2}=-1.96[/tex]

                      [tex]{x-12}=-1.96 \times 2[/tex]

                      x = 12 - 3.92 = 8.08 minutes.

Firstly, the time for the event of the below 97.5%, i.e;

           P(X < x) = 0.975     {where x is the required time}

           P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{x-12}{2}[/tex] ) = 0.975

           P(Z < [tex]\frac{x-12}{2}[/tex] ) = 0.975

Now, in the z table, the critical value of x that represents the top 2.5% of the area is given as 1.96, i.e;

                      [tex]\frac{x-12}{2}=1.96[/tex]

                      [tex]{x-12}=1.96 \times 2[/tex]

                      x = 12 + 3.92 = 15.92 minutes.

Hence, the time for the event of the middle 95% is 8.08 minutes and 15.92 minutes.

(d) We have to find the time for the event of the lowest 80%, that means;

           P(X < x) = 0.80     {where x is the required time}

           P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{x-12}{2}[/tex] ) = 0.80

           P(Z < [tex]\frac{x-12}{2}[/tex] ) = 0.80

Now, in the z table, the critical value of x that represents the lowest 80% of the area is given as 0.8416, i.e;

                      [tex]\frac{x-12}{2}=0.8416[/tex]

                      [tex]{x-12}=0.8416 \times 2[/tex]

                      x = 12 + 1.68 = 13.68 minutes.

Hence, the time for the event of the lowest 80% is 13.68 minutes.

Answer: D

Step-by-step explanation:

Irrational numbers cannot be expressed as a ratio of two integers.

Answer:

D only

Step-by-step explanation:

Answer:

A - x (x+3) = Area of the rectangle

B- 28 inches squared

Step-by-step explanation:

B- using the formula from A

x = 4

x + 3 = 4 +3 = 7

4 times 7 is 28

Answer: 28ins²

Step-by-step explanation:

From the question, let the width of the rectangle = xins.

Therefore, the breadth                                            = ( x + 3 )ins.

(A) The area of the rectangle which is L x B          = x( x+ 3 )

                                                                              = (x² + 3x)ins² . In polynomial.

(B) The area of the rectangle if the width is 4ins, that is if x = 4ins.To find the area, we substitute for x in the area above

                                                                             = 4² + 3 x 4

                                                                             = 16 + 12

                                                                             = 28ins²

Step-by-step explanation:

It is given that, Katie walks 2 ft forward and 5 ft backwards. We need to find her displacement traveled.

The difference between final position and the initial position is equal to displacement. It is the shorted path covered.

Let forward is +x and backward is -x

Initial position of Katie = +2 ft

Final position of Katie = -5 ft

Displacement = final position - initial position

= -5 - 2

Displacement = -7 ft

So, her displacement is 7 feet in backward direction.

Answer:

3.935 x 10^5.

Step-by-step explanation:

There are five digits after the first 3 so  it will be 10^5.

The answer is 3.935 x 10^5.

393500 equals 3.935×10⁵

If we write xⁿ then we mean to say that x is multiplied n times.

The exponent of a number says how many times the number is multiplied by itself.

393500=3.935×100,000=3.935×10⁵

Hence, 393500=3.935×10⁵

Learn more about exponents here- https://brainly.com/question/5497425?referrer=searchResults

#SPJ2

Answer:

[tex](x-3-2i)(x-3+2i)[/tex]

Steps:

[tex]8x^2-48x=-104[/tex]

[tex]8x^2-48x+104=0[/tex]

Divide both sides by 8

[tex]x^2-6x+13=0[/tex]

But we can't factor it.

Using the Quadratic Formula to calculate the roots:

[tex]$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$[/tex]

[tex]$x=\frac{-(-48)\pm \sqrt{(-48)^2-4\cdot 8\cdot 104}}{2\cdot 8}$[/tex]

[tex]$x=\frac{48\pm32i}{16}$[/tex]

[tex]x_1=3+2i\\x_2=3-2i[/tex]

The answer might be

[tex](x-(3+2i))(x-(3-2i))[/tex]

[tex](x-3-2i)(x-3+2i)[/tex]

Answer: 22 kph

Step-by-step explanation:

distance (d) = rate (r) x time (t)

UPSTREAM: d = 5 km,   r = *x - y,  y = 2 kph,   t = 2t

DOWNSTREAM: d = 3 k,  r = *x + y,   y = 2 kph,   t = t

*x is the speed in still water and y is the current of the water.

Upstream equation:       5 = 2t(x - 2)   -->    [tex]\dfrac{5}{2(x-2)}=t[/tex]

Downstream equation:  3 = t(x + 2)     -->    [tex]\dfrac{3}{x+2}=t[/tex]

Set the equations equal to each other to solve for x:

[tex]\dfrac{5}{2(x-2)}=\dfrac{3}{x+2}\\\\\\\text{Cross multiply:}\\5(x+2)=3\cdot2(x-2)\\\\\text{Distribute:}\\5x+10=6x-12\\\\\text{Isolate x:}\\10=x-12\\22=x[/tex]

Step-by-step explanation:

Step-by-step explanation:

distance (d) = rate (r) x time (t)

UPSTREAM: d = 5 km, r = *x - y, y = 2 kph, t = 2t

DOWNSTREAM: d = 3 k, r = *x + y, y = 2 kph, t = t

*x is the speed in still water and y is the current of the water.

Upstream equation: 5 = 2t(x - 2) --> \dfrac{5}{2(x-2)}=t

2(x−2)

5

=t

Downstream equation: 3 = t(x + 2) --> \dfrac{3}{x+2}=t

x+2

3

=t

Set the equations equal to each other to solve for x:

\begin{gathered}\dfrac{5}{2(x-2)}=\dfrac{3}{x+2}\\\\\\\text{Cross multiply:}\\5(x+2)=3\cdot2(x-2)\\\\\text{Distribute:}\\5x+10=6x-12\\\\\text{Isolate x:}\\10=x-12\\22=x\end{gathered}

2(x−2)

5

=

x+2

3

Cross multiply:

5(x+2)=3⋅2(x−2)

Distribute:

5x+10=6x−12

Isolate x:

10=x−12

22=x

Answer:

x=3 15/16 hours together

Step-by-step explanation:

the painter paints 1/7 of the house in 1 hour

the assistant paints 1/9 of the house in 1 hour

x=# of hours it takes them together to paint the house

(1/7)x+(1/9)x=1 (job finished)

multiply both sides by the LCM which is 63

63(1/7)x+63(1/9)x=63(1)

9x+7x=63

16x=63

x=63/16

x=3 15/16 hours together

Answer:

2 column proof is a logical argument consisting of statements and the reasons to show why those statememts are true.

Step-by-step explanation:

Answer:

The answer is "c"

Step-by-step explanation:

Answer:

The +1 in f(x) is the y intercept

The +1 in g(x) is the y coordinate of the vertex

Step-by-step explanation:

For f(x), plugging in x = 0 leads to

f(x) = 2x^2+5x+1

f(0) = 2(0)^2+5(0)+1

f(0) = 1

Showing that (0,1) is the y intercept of f(x).

The same is not true for g(x)

g(x) = 2(x+5)^2+1

g(0) = 2(0+5)^2+1

g(0) = 51

-------------------------------

The +1 for g(x) represents the y coordinate of the vertex. Recall that vertex form in general is

y = a(x-h)^2+k

with (h,k) being the vertex. This means we can quickly spot the vertex for g(x) without having to graph. The same cannot be said for f(x) as we need to complete the square to get f(x) into vertex form. Currently, f(x) is in standard form.

Answer:

Length of the diagonal = 20√3 units

Step-by-step explanation:

Given:

Side of square = 10√6 units

Find:

Length of the diagonal

Computation:

Using Pythagorean theorem.

Length of the diagonal = √2(a)²

Length of the diagonal = √2(10√6)²

Length of the diagonal = √1200

Length of the diagonal = 20√3 units